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Finding the Third Proportional to 40.87 and 88.12

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Solution

The third proportional to 40.87 and 88.12 is: 190.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.87 : 88.12 = 88.12 : x
  2. Step 2: Convert to fraction form
    40.87/88.12 = 88.12/x
  3. Step 3: Cross multiply
    40.87x = 88.12 × 88.12
  4. Step 4: Simplify right side
    40.87x = 7,764.98
  5. Step 5: Solve for x
    x = 7,764.98/40.87
  6. Step 6: Final answer
    x = 190.00

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.